GCD of 992, 198, 909, 428 Calculator

Given Input numbers are 992, 198, 909, 428

In the factoring method, we have to find the divisors of all numbers

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (992, 198, 909, 428) = 1.

Given numbers are 992, 198, 909, 428

The list of prime factors of all numbers are

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 909 are 3 x 3 x 101

Prime factors of 428 are 2 x 2 x 107

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 992, 198, 909, 428

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(992, 198) = 98208

GCD(992, 198) = ( 992 x 198 ) / 98208

= 992 / 198

= 992

Step2:

LCM(2, 909) = 1818

GCD(2, 909) = ( 2 x 909 ) / 1818

= 2 / 909

= 2

Step3:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1

So, Greatest Common Divisor of 992, 198, 909, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 981, 804, 828, 955
• GCD of 990, 900, 753, 954
• GCD of 886, 674, 534, 492
• GCD of 121, 193, 862, 557
• GCD of 693, 538, 145, 102

Given numbers are 992, 198, 909, 428
The greatest common divisor of numbers 992, 198, 909, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 198, 909, 428 is 1.

1. What is the GCD of 992, 198, 909, 428?

GCD of given numbers 992, 198, 909, 428 is 1

2. How to calculate the greatest common divisor of 992, 198, 909, 428?

We can find the highest common divisor of 992, 198, 909, 428 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 992, 198, 909, 428 i.e 1.

3. How can I use the GCD of 992, 198, 909, 428Calculator?

Out the numbers 992, 198, 909, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.